6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

A) 87	B) 59
C) 92	D) 81

Answer & Explanation Answer: D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
25935
--------
81

Required number = 81.

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Filed Under: Problems on Numbers
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4 4906

Q:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months	B) 5months
C) 8months	D) 3months

Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

Time = $\frac{100 \times T D}{P W \times R}$

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Filed Under: True Discount
Exam Prep: Bank Exams
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6 4903

Q:

Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two events are disjoint ?

A) TRUE

B) FALSE

Answer & Explanation Answer: B) FALSE

Explanation:

These two events cannot be disjoint because P(K) + P(L) > 1.

P(AꓴB) = P(A) + P(B) - P(AꓵB).

An event is disjoint if P(A ꓵ B) = 0. If K and L are disjoint P(K ꓴ L) = 0.8 + 0.6 = 1.4

And Since probability cannot be greater than 1, these two mentioned events cannot be disjoint.

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Subject: Probability
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3 4900

Q:

If 27th February 2011 was Sunday, then 1st March 2012 will be what day of the week?

A) Thursday	B) Friday
C) Sunday	D) Monday

Answer & Explanation Answer: A) Thursday

Explanation:

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Filed Under: Calendar
Exam Prep: Bank Exams

24 4899

Q:

Eight first class and six second class petty officers are on the board of the 56 club. In how many ways can the members elect, from the board, a president, a vice-president, a secretary, and a treasurer if the president and secretary must be first class petty officers and the vice-president and treasurer must be second class petty officers?

A) 1500	B) 1860
C) 1680	D) 1640

Answer & Explanation Answer: C) 1680

Explanation:

Since two of the eight first class petty officers are to fill two different offices, we write $8 P_{2} =$ 56

Then, two of the six second class petty officers are to fill two different offices; thus, we write $6 P_{2}$ =30

The principle of choice holds in this case; therefore, the members have 56 x 30 = 1680 ways to select the required office holders

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Filed Under: Permutations and Combinations

0 4896

Q:

A container contains 120 lit of Diesel. From this container, 12 lit of Diesel was taken out and replaced by kerosene. This process was further repeated for two times. How much diesel is now there in the container ?

A) 88.01 lit	B) 87.48 lit
C) 87.51 lit	D) 87.62 lit

Answer & Explanation Answer: B) 87.48 lit

Explanation:

For these type of problems,

Quantity of Diesel remained = $(q {(1 - \frac{p}{q})}^{n})$

Here p = 12 , q = 120

=> $(120 {(1 - \frac{12}{120})}^{3})$ = 120 x 0.9 x 0.9 x 0.9 = 87.48 lit.

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Filed Under: Alligation or Mixture
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14 4893

Q:

$T h e v a l u e o f l o g_{2} (l o g_{5} (625)) i s :$

A) 2	B) 5
C) 10	D) 15

Answer & Explanation Answer: A) 2

Explanation:

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Filed Under: Logarithms
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

16 4891

Q:

An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

A) 6 hrs 24 min	B) 6 hrs
C) 7 hrs 21 min	D) 6 hrs 28 min

Answer & Explanation Answer: D) 6 hrs 28 min

Explanation:

Time taken to cover 600 km = 600/100 = 6 hrs.

Number of stoppages = 600/75 - 1 = 7

Total time of stoppages = 4 x 7 = 28 min

Hence, total time taken = 6 hrs 28 min.

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Filed Under: Time and Distance
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5 4890

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